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Finding the Fourth Proportional to 38,410.08, 53,003.68 and 21,413.76

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Solution

The fourth proportional to 38,410.08, 53,003.68 and 21,413.76 is: 29,549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,410.08 : 53,003.68 = 21,413.76 : x
  2. Step 2: Convert to fraction form
    38,410.08/53,003.68 = 21,413.76/x
  3. Step 3: Cross multiply
    38,410.08x = 53,003.68 × 21,413.76
  4. Step 4: Simplify right side
    38,410.08x = 1,135,008,082.64
  5. Step 5: Solve for x
    x = 1,135,008,082.64/38,410.08
  6. Step 6: Final answer
    x = 29,549.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.